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49957099344 = 24324321138237
BaseRepresentation
bin101110100001101011…
…001101011101010000
311202221121002120222200
4232201223031131100
51304303004134334
634541110003200
73415661223645
oct564153153520
9152847076880
1049957099344
111a206531169
129822646500
134931bcbb19
1425bcb63dcc
151475c1d799
hexba1acd750

49957099344 has 120 divisors (see below), whose sum is σ = 143743677792. Its totient is φ = 16187592960.

The previous prime is 49957099337. The next prime is 49957099373. The reversal of 49957099344 is 44399075994.

49957099344 is a `hidden beast` number, since 499 + 57 + 0 + 9 + 93 + 4 + 4 = 666.

49957099344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287394 + ... + 1325630.

Almost surely, 249957099344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49957099344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71871838896).

49957099344 is an abundant number, since it is smaller than the sum of its proper divisors (93786578448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49957099344 is a wasteful number, since it uses less digits than its factorization.

49957099344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38505 (or 38496 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 49957099344 in words is "forty-nine billion, nine hundred fifty-seven million, ninety-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 211 258 344 387 422 516 633 688 774 844 1032 1266 1548 1688 1899 2064 2532 3096 3376 3798 5064 6192 7596 9073 10128 15192 18146 27219 30384 36292 38237 54438 72584 76474 81657 108876 114711 145168 152948 163314 217752 229422 305896 326628 344133 435504 458844 611792 653256 688266 917688 1306512 1376532 1644191 1835376 2753064 3288382 4932573 5506128 6576764 8068007 9865146 13153528 14797719 16136014 19730292 24204021 26307056 29595438 32272028 39460584 48408042 59190876 64544056 72612063 78921168 96816084 118381752 129088112 145224126 193632168 236763504 290448252 346924301 387264336 580896504 693848602 1040772903 1161793008 1387697204 2081545806 2775394408 3122318709 4163091612 5550788816 6244637418 8326183224 12489274836 16652366448 24978549672 49957099344